Details

Time bar (total: 5.0s)

sample13.0ms

Algorithm
intervals
Results
5.0ms252×body80valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
247491
3131091
4386591
5500191

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
12.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
11.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (/ (fabs (- y x)) 2.0))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
46.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
02731069
11125971
25001937

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.1b
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-div
112×sqrt-prod
97×sqrt-pow1
75×pow1
60×add-sqr-sqrt
53×pow1/2
43×pow-prod-up
42×*-un-lft-identity
35×flip3-+ flip-+
32×frac-times
22×add-cube-cbrt
20×swap-sqr
17×associate-*r*
16×associate-*l/
13×pow-sqr
12×pow-prod-down
11×add-exp-log associate-*l* add-cbrt-cube unswap-sqr
10×associate-*r/
9×distribute-lft-out
7×pow-plus
4×rem-sqrt-square prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 rem-square-sqrt
Counts
4 → 211
Calls
4 calls:
11.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
11.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
100.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
58.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
52.0ms
(sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
17.0ms
(* (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
53.0ms
(* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06562820
125842347
250012309

prune421.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (* (sqrt (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.4b
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

rewrite612.0ms

Algorithm
rewrite-expression-head
Rules
1366×sqrt-div
572×frac-times
502×cbrt-div
413×flip3-+ flip-+
214×associate-*l/
136×associate-*r/
62×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
37×pow1
32×pow1/3
28×sqrt-pow1
26×pow-prod-up
22×add-cube-cbrt
18×pow-prod-down
17×associate-*r*
15×add-exp-log
14×swap-sqr
13×add-cbrt-cube
11×associate-*l*
9×distribute-lft-out unswap-sqr
8×pow1/2
7×prod-exp cbrt-unprod
6×pow-sqr
5×pow-plus
4×add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2
Counts
4 → 382
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
479.0ms
(* (* (sqrt (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
55.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

series186.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
51.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
24.0ms
(* (* (sqrt (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
53.0ms
(* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify186.0ms

Algorithm
egg-herbie
Counts
394 → 394
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0209219757
1500119400

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample298.0ms

Algorithm
intervals
Results
148.0ms7704×body80valid
9.0ms104×body1280valid
5.0ms79×body640valid
4.0ms39×body2560valid
3.0ms48×body320valid
1.0ms27×body160valid